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Finding the Fourth Proportional to 185,732, 256,310.16 and 106,244

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Solution

The fourth proportional to 185,732, 256,310.16 and 106,244 is: 146,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,732 : 256,310.16 = 106,244 : x
  2. Step 2: Convert to fraction form
    185,732/256,310.16 = 106,244/x
  3. Step 3: Cross multiply
    185,732x = 256,310.16 × 106,244
  4. Step 4: Simplify right side
    185,732x = 27,231,416,639.04
  5. Step 5: Solve for x
    x = 27,231,416,639.04/185,732
  6. Step 6: Final answer
    x = 146,616.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.